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Finding the Fourth Proportional to 8,274.92, 11,416.41 and 5,290.47

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Solution

The fourth proportional to 8,274.92, 11,416.41 and 5,290.47 is: 7,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.92 : 11,416.41 = 5,290.47 : x
  2. Step 2: Convert to fraction form
    8,274.92/11,416.41 = 5,290.47/x
  3. Step 3: Cross multiply
    8,274.92x = 11,416.41 × 5,290.47
  4. Step 4: Simplify right side
    8,274.92x = 60,398,174.61
  5. Step 5: Solve for x
    x = 60,398,174.61/8,274.92
  6. Step 6: Final answer
    x = 7,298.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.